| 书目名称 | Quaternions and Cayley Numbers | | 副标题 | Algebra and Applicat | | 编辑 | J. P. Ward | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | In essence, this text is written as a challenge to others, to discover significant uses for Cayley number algebra in physics. I freely admit that though the reading of some sections would benefit from previous experience of certain topics in physics - particularly relativity and electromagnetism - generally the mathematics is not sophisticated. In fact, the mathematically sophisticated reader, may well find that in many places, the rather deliberate progress too slow for their liking. This text had its origin in a 90-minute lecture on complex numbers given by the author to prospective university students in 1994. In my attempt to develop a novel approach to the subject matter I looked at complex numbers from an entirely geometric perspective and, no doubt in line with innumerable other mathematicians, re-traced steps first taken by Hamilton and others in the early years of the nineteenth century. I even enquired into the possibility of using an alternative multiplication rule for complex numbers (in which argzlz2 = argzl- argz2) other than the one which is normally accepted (argzlz2 = argzl + argz2). Of course, my alternative was rejected because it didn‘t lead to a ‘product‘ which | | 出版日期 | Book 1997 | | 关键词 | Matrix; algebra; associative algebra; computer algebra; linear algebra; non-associative algebra; matrix th | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-011-5768-1 | | isbn_softcover | 978-94-010-6434-7 | | isbn_ebook | 978-94-011-5768-1 | | copyright | Springer Science+Business Media Dordrecht 1997 |
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发表于 2025-3-21 19:22:48
